1263871429056 has 448 divisors, whose sum is σ = 3889254096000. Its totient is φ = 407168778240.

The previous prime is 1263871429049. The next prime is 1263871429057. The reversal of 1263871429056 is 6509241783621.

It is a happy number.

1263871429056 is a `hidden beast` number, since 1 + 263 + 87 + 14 + 290 + 5 + 6 = 666.

It is a super-2 number, since 2×1263871429056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1263871428993 and 1263871429011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263871429057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648470770 + ... + 648472718.

It is an arithmetic number, because the mean of its divisors is an integer number (8681370750).

It is a 1-persistent number, because it is pandigital, but 2⋅1263871429056 = 2527742858112 is not.

Almost surely, 2^{1263871429056} is an apocalyptic number.

1263871429056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263871429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944627048000).

1263871429056 is an abundant number, since it is smaller than the sum of its proper divisors (2625382666944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1263871429056 is an equidigital number, since it uses as much as digits as its factorization.

1263871429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1263871429056 in words is "one trillion, two hundred sixty-three billion, eight hundred seventy-one million, four hundred twenty-nine thousand, fifty-six".